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Finding the Fourth Proportional to 376,671.75, 519,810.84 and 204,591.38

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Solution

The fourth proportional to 376,671.75, 519,810.84 and 204,591.38 is: 282,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,671.75 : 519,810.84 = 204,591.38 : x
  2. Step 2: Convert to fraction form
    376,671.75/519,810.84 = 204,591.38/x
  3. Step 3: Cross multiply
    376,671.75x = 519,810.84 × 204,591.38
  4. Step 4: Simplify right side
    376,671.75x = 106,348,817,094.56
  5. Step 5: Solve for x
    x = 106,348,817,094.56/376,671.75
  6. Step 6: Final answer
    x = 282,338.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.